ABC and ADE are similar. Find the length of size CA

since ABC and ADE are similar,they have equal areas.

(AC)^2/(AE)^2=area ABC/ADE

areaABC=ACE=1

so substitute it in the afformentioned equation

u will get,AC=AE

225x²+4=0

225x²=0-4

225x²=-4

x²=-4/225

x=±√-4/225

the revenue of the fitness center, y, is the product of two factors: the number of members and the fee paid by each member. there are 320 members now, but number of members goes down by 10 for each $5 increase in fees, so if x is the number of $5 price increases then members is equal to (320 - 10x). since the fee is currently $45, and the fee increases by $5 for every price bump x, the fee is given by (45 + 5x). so, revenue y is given by y = (320 - 10x)(45 + 5x).